Least Common Multiple of 33, 30, 23, 42, 308

Q: How to Find the LCM of 33, 30, 23, 42, 308 ?

Least Common Multiple of 33, 30, 23, 42, 308 = 106260 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(33, 30, 23, 42, 308) = 2 x 2 x 3 x 5 x 7 x 11 x 23 = 106260.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 33, 30, 23, 42, 308 i.e. 106260 smallest integer divisible by all numbers.

Least common multiple (LCM) of 33, 30, 23, 42, 308 is 106260.

LCM(33, 30, 23, 42, 308) = 106260

LCM of 33, 30, 23, 42, 308

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 33, 30, 23, 42, 308 by common division method
Least Common Multiple of 33, 30, 23, 42, 308 with GCF Formula

Least Common Multiple of 33,30,23,42,308

Least Common Multiple (LCM) of 33,30,23,42,308 is 106260

2	33, 30, 23, 42, 308
3	33, 15, 23, 21, 154
7	11, 5, 23, 7, 154
11	11, 5, 23, 1, 22
	1, 5, 23, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 1 x 5 x 23 x 1 x 2 = 106260

Least Common Multiple of 33,30,23,42,308 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 33,30,23,42,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,30,23,42,308) = 1

common factors(in case of two or more numbers have common factors) = 2772

GCF(33,30,23,42,308) x common factors =1 x 2772 = 2772

LCM(33,30,23,42,308) = ( 33 × 30 × 23 × 42 × 308 ) / 2772

LCM(33,30,23,42,308) = 294552720 / 2772

LCM(33,30,23,42,308) = 106260

∴ Least Common Multiple of 33,30,23,42,308 is 106260

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 33, 30, 23, 42, 308

1. What is the LCM of 33, 30, 23, 42, 308?

Answer: LCM of 33, 30, 23, 42, 308 is 106260.

2. What are the Factors of 106260?

Answer: Factors of 106260 are . There are integers that are factors of 106260

3. How to Find the LCM of 33, 30, 23, 42, 308 ?

Least Common Multiple of 33, 30, 23, 42, 308.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(33, 30, 23, 42, 308) = 2 x 2 x 3 x 5 x 7 x 11 x 23 = 106260.